Decompose P/Q, Where Q Has Only Distinct Linear Factors
Write $\frac { 6 x - 4 } { ( x + 6 ) ( x + 2 ) }$

question 91

Multiple Choice

Decompose P/Q, Where Q Has Only Distinct Linear Factors
Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the
constants.
1) $\frac { 6 x - 4 } { ( x + 6 ) ( x + 2 ) }$
A) $\frac { A } { x + 6 } + \frac { B } { x + 2 }$
B) $\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ( x + 2 ) }$
C) $\frac { \mathrm { A } } { x + 6 } + \frac { \mathrm { B } } { \mathrm { x } + 2 } + \frac { \mathrm { Cx } + \mathrm { D } } { ( \mathrm { x } + 6 ) ( \mathrm { x } + 2 ) }$
D) $\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }$
- $$\frac { x - 17 } { ( x - 2 ) ( x - 5 ) }$$

• A) \(\frac { A } { x + 6 } + \frac { B } { x + 2 }\)
• B) \(\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ( x + 2 ) }\)
• C) \(\frac { \mathrm { A } } { x + 6 } + \frac { \mathrm { B } } { \mathrm { x } + 2 } + \frac { \mathrm { Cx } + \mathrm { D } } { ( \mathrm { x } + 6 ) ( \mathrm { x } + 2 ) }\)
• D) \(\frac { A } { x + 6 } + \frac { B } { x + 2 } + \frac { C } { ( x + 6 ) ^ { 2 } ( x + 2 ) ^ { 2 } }\)
• -\[\frac { x - 17 } { ( x - 2 ) ( x - 5 ) }\]
• A) \(\frac { 5 } { x - 2 } + \frac { - 4 } { x - 5 }\)
• B) \(\frac { - 4 } { x - 2 } + \frac { 5 } { x - 5 }\)
• C) \(\frac { 5 } { x - 2 } + \frac { 4 } { x - 5 }\)
• D) \(\frac { 4 } { x - 2 } + \frac { - 5 } { x - 5 }\)

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